Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
422 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 102 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 12. #11763849 | C4 | semidirect |
| 13. #11763849 | C4 | semidirect |
| 19. #11763722 | C4 | semidirect |
| 26. #11762626 | C4 | semidirect |
| 27. #11762625 | C4 | semidirect |
| 28. #11762624 | C4 | semidirect |
| 29. C17×#362 | C4 | semidirect |
| 188. #362 | #595 | semidirect |
| 239. C17 | #12648 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763849 | 2 |
| #14545094 | 2 |
| #14544999 | 2 |
| #14544593 | 2 |
| #14543856 | 2 |
| #14543850 | 2 |
| D17×#362 | 2 |
| #12648 | 17 |